Atkin-Lehner |
5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
41905c |
Isogeny class |
Conductor |
41905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-351205805 = -1 · 5 · 174 · 292 |
Discriminant |
Eigenvalues |
1 1 5+ 3 0 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,-7683] |
[a1,a2,a3,a4,a6] |
Generators |
[1110:12259:8] |
Generators of the group modulo torsion |
j |
-511981129/4205 |
j-invariant |
L |
7.8631033596343 |
L(r)(E,1)/r! |
Ω |
0.45924681439101 |
Real period |
R |
2.8536229006706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41905d1 |
Quadratic twists by: 17 |